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liraira [26]
3 years ago
6

2. An advertiser wants to find convincing evidence that television viewers

Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

C

Step-by-step explanation:

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Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
2 years ago
What is the depth of the pacific ocean rounded to the nearest ten thousand
zepelin [54]
Rounding 1300 unless your talking about the Marianas trench
3 0
4 years ago
Read 2 more answers
How to solve this Algebra question?
PIT_PIT [208]
  • Slope formula: \frac{y_2-y_1}{x_2-x_1}

Firstly, let's set up our equation. Place the two coordinates in the slope formula and have it equal 8: \frac{3k-4-k}{5-(-2)}=8

Next, combine like terms: \frac{2k-4}{7}=8

Next, multiply both sides by 7: 2k-4=56

Next, add 4 onto both sides of the equation: 2k=60

Lastly, divide both sides by 2 and <u>your answer will be k=30</u>

7 0
3 years ago
When this 3-digit number is rounded to the nearest hundred, it rounds to 200.  Rounded to the nearest ten, this number rounds to
alisha [4.7K]
199, it rounds to 200 because it's closer to 200 than 100. It is also closer to 200 than to 190. And finally, 1 + 9 + 9 = 19
8 0
3 years ago
if a town with a population of 500 doubles in size ever 9 years, what will the population be 36 years from now?
s344n2d4d5 [400]

The population of the town in 36 years would be  8000.

<h3>What would be the population of the town in 36 years?</h3>

The formula that can be used to determine the town's population is:
FV = P (1 + r)^n

Where:

  • FV = Future value
  • P = Present value
  • R = rate of growth = 100%
  • N = number of years = 36/9 = 4

500 x 2^4 = 8000

To learn more about future value, please check: brainly.com/question/18760477

4 0
2 years ago
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